Match the following reasons with the statements in the given proof. Prove that if two angles are complementary to the same angle then they are equal in measure. 1. ∠1 is complementary to ∠2 and ∠3 is complementary to ∠2.

a) Substitution

2. m∠1 + m∠2 = 90 and m∠3 + m∠2 = 90

b) Definition of complementary

3. m∠1 + m∠2 = m∠3 + m∠2

c) Subtraction property of equality

4. m∠1 = m∠3

d) Given

Question

Mathematics

Willow Lutz

18 January, 04:58

Match the following reasons with the statements in the given proof. Prove that if two angles are complementary to the same angle then they are equal in measure. 1. ∠1 is complementary to ∠2 and ∠3 is complementary to ∠2.

a) Substitution

2. m∠1 + m∠2 = 90 and m∠3 + m∠2 = 90

b) Definition of complementary

3. m∠1 + m∠2 = m∠3 + m∠2

c) Subtraction property of equality

4. m∠1 = m∠3

d) Given

+1

Answers (1)

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Danica Fritz · Answer 1

1. ∠1 is complementary to ∠2 and ∠3 is complementary to ∠2.

d) Given

2. m∠1 + m∠2 = 90 and m∠3 + m∠2 = 90

b) Definition of complementary

3. m∠1 + m∠2 = m∠3 + m∠2

a) Substitution

4. m∠1 = m∠3

c) Subtraction property of equality